Welcome to the documentation for SystemLevelControl.jl!

Introduction

SystemLevelControl.jl is a Julia toolbox for synthesizing controllers using the System Level Synthesis (SLS) methodology. The package provides a straightforward, @Distributed-enabled, interface for optimal and robust control of large-scale cyberphysical systems.

We are still not on the official registry. To install SystemLevelControl.jl, run

import Pkg; Pkg.add(url="https://github.com/aaltoKEPO/SystemLevelControl.jl")

The documentation is organized in three sections:

• The Manual details the main concepts and methods implemented in the package.
• The Examples section provides some tutorials on using the package for solving relevant benchmark problems.
• The Reference section contains the documentation of all important types and functions from the library.

Notes

Although general-purpose, the SLS methodology was designed for large-scale cyberphysical systems with sparse communication and actuation networks. This is reflected on our design choices for the package: SystemLevelControl.jl focus on linear discrete-time systems represented through SparseArrays data-types. The linear fractional transformation (LFT) framework is used as the theoretical backbone of all methods.

We hope to improve SystemLevelControl.jl until it can serve as a general-purpose control framework (while still bringing all the power of SLS). In the meanwhile, we can recommend other excellent Julia packages for doing analysis or solving more general control problems:

• ControlSystems.jl and its associated Ecosystem provide a wide collection of tools for analysis and design of control systems. It provides a similar interface as that of the popular Control Systems Toolbox in MATLAB®.
• JuMP.jl is perhaps the most popular modelling framework for mathematical optimization in Julia. A wide class of optimal control problems (including LMIs/SDPs) can be solved with this package. SystemLevelControl.jl actually use JuMP to solve SLS problems for the general cases.
• TrajectoryOptimization.jl is a popular framework for solving trajectory optimization problems in Julia, specially for applications in robotics. A distinct feature is the possibility to easily model nonlinear control problems.
• JuliaSimControl.jl is the package within the JuliaSim Ecosystem that allows for the modelling, analysis and deployment of control systems in a centralized package.